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On relationships between algebraic properties of groups and rings in some model-theoretic contexts

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Publication:3107361
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DOI10.2178/jsl/1318338856zbMath1244.03113arXiv1007.0532OpenAlexW2074428858MaRDI QIDQ3107361

Krzysztof Krupiński

Publication date: 23 December 2011

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0532

zbMATH Keywords

definable groupdefinable ringomega-categorical groupomega-categorical ringsmall Polish group


Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Categoricity and completeness of theories (03C35)


Related Items

On \(\omega\)-categorical, generically stable groups and rings, On \(\omega \)-categorical groups and rings of finite burden, Locally finite profinite rings., On 𝜔-categorical groups and rings with NIP



Cites Work

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  • Small profinite groups and rings
  • \(\aleph_0\)-categoricity and stability of rings
  • Totally categorical groups and rings
  • Subrings of finite index in finitely generated rings
  • Some model theory of Polish structures
  • ABSOLUTELY UBIQUITOUS STRUCTURES AND N0-CATEGORICAL GROUPS
  • Small profinite m-stable groups
  • Fields interpretable in rosy theories
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